Hazel is 20% heavier than Neave. Yen is 50% lighter than Neave. Hazel is 14 kg heavier than Yen. What is Neave's mass?
Hazel |
Neave |
Yen |
120% |
100% |
|
|
100% |
50% |
12 u |
10 u |
5 u |
Hazel's mass compared to Neave's mass in percent
= 100% + 20%
= 120%
Yen's mass compared to Neave's mass in percent
= 100% - 50%
= 50%
120% =
120100 =
121050% =
50100 =
510Neave's mass is the repeated identity. Make Neave's mass the same.
Neave's mass = 10 u
Mass that Hazel has more than Yen
= 12 u - 5 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Neave's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg